How many meters of cloth 5m wide will be required to make a conical tent, the radius of whose base is 7m and whose height is 24m?(p=22/7)
A. 108m
B. 110m
C. 112m
D. 115m
Answer: Option B
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Given, r = 7 m
h = 24 m
∴ slant height l = √(r2 + h2) = √(49 + 576) = √625 = 25 m
CSA of the cone = πrll = 22/7 x 7 x 25 = 550 m2
Area of the cloth used = 550 m2
Given, width of the cloth = 5 m
Length of the cloth used = Area/Width = 550 / 5 = 110 m.